Point Pattern Analysis on a Sphere

Thomas Joseph Lawrence

    Research output: ThesisMaster's Thesis

    624 Downloads (Pure)

    Abstract

    This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman­-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.
    Original languageEnglish
    QualificationMasters
    Awarding Institution
    • The University of Western Australia
    Supervisors/Advisors
    • Baddeley, Adrian John, Supervisor
    • Nair, Gopalan, Supervisor
    • Milne, Robin, Supervisor
    Award date30 Jan 2018
    DOIs
    Publication statusUnpublished - 2018

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